La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes
Weimann, Martin
HAL, hal-00011172 / Harvested from HAL
Text on HAL
We show here how residue calculus (residue currents, Grothendieck residues, duality theorem) can be used to obtain an algebraic characterization of the Abel-transform of a meromorphic form on germs of analytic sets. We prove by this way a stronger version of Abel-inverse theorem with an "algebraic" approach and we show the link with Wood's theorem. Furthermore, we obtain a new method to bound easily the dimension of the vector space of abelian forms on an algebraic projective hypersurface.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV],  [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC] 
@article{hal-00011172,
     author = {Weimann, Martin},
     title = {La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00011172}
}

Weimann, Martin. La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00011172/